{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3f1d0a7b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n"
     ]
    }
   ],
   "source": [
    "tuple = [1,2]\n",
    "try:\n",
    "    tuple[0] = 5\n",
    "    print(tuple[0])\n",
    "except:\n",
    "    print(\"错误输出\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9388bb86",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "\n",
      "\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "\n",
      "\n",
      "0---1\n",
      "1---2\n",
      "2---3\n",
      "3---4\n",
      "4---5\n"
     ]
    }
   ],
   "source": [
    "for i in range(5):\n",
    "    print(i)\n",
    "print(\"\\n\")\n",
    "\n",
    "list = [1,2,3,4,5]\n",
    "for i in list:\n",
    "    print(i)\n",
    "print(\"\\n\")\n",
    "\n",
    "for i,j in enumerate(list):\n",
    "    print(str(i) + \"---\" +str(j))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "36bbc4ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "排序前:[1, 3, 5, 2, 9, 3, 8]\n",
      "排序后:[1, 2, 3, 3, 5, 8, 9]\n"
     ]
    }
   ],
   "source": [
    "#冒泡排序\n",
    "list = [1,3,5,2,9,3,8]\n",
    "print(\"排序前:\" + str(list))\n",
    "for i in range(len(list)):\n",
    "    for j in range(len(list) - i - 1):\n",
    "        if list[j] > list[j+1]:\n",
    "            temp = list[j]\n",
    "            list[j] = list[j+1]\n",
    "            list[j+1] = temp\n",
    "print(\"冒泡排序后:\" + str(list))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "f68771f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n",
      "8\n"
     ]
    }
   ],
   "source": [
    "class clatulate:\n",
    "    def __init__(self, a, b) -> None:\n",
    "        self.pi = 3.1415926\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "\n",
    "    def add(self):\n",
    "        return self.a+self.b\n",
    "\n",
    "    def plut(self):\n",
    "        return self.a*self.b      \n",
    "\n",
    "result = clatulate(a = 2, b = 4)     \n",
    "print(result.add())\n",
    "print(result.plut())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "322852ca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "x = np.random.randint(low=1, high=10, size=1)\n",
    "y = np.random.randint(low=1, high=10, size=1)\n",
    "print(x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cde01319",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "\n",
    "x = np.linspace(start=-5, stop=5,  num=100)\n",
    "y_sin = np.sin(x)\n",
    "y_cos = np.cos(x)\n",
    "\n",
    "plt.plot(x,y_sin, label = 'sin', marker='o')\n",
    "plt.plot(x,y_cos, label = 'cos', marker='*')\n",
    "plt.grid(True)\n",
    "plt.xlabel('x', fontsize = 15)\n",
    "plt.ylabel('y', fontsize = 15)\n",
    "plt.title('hhee')\n",
    "plt.legend(fontsize=15)\n",
    "\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e3caf63f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,5))\n",
    "\n",
    "points = np.random.rand(100, 2)\n",
    "plt.scatter(points[:,0], points[:, 1])\n",
    "\n",
    "plt.grid(True)\n",
    "plt.xlabel('x', fontsize = 15)\n",
    "plt.ylabel('y', fontsize = 15)\n",
    "plt.title('hhee')\n",
    "\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "54d9f12a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "29f1eade",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "img = cv2.imread(r'/Users/bruce/Documents/猫头鹰背景图.png', 0)\n",
    "img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "8d41ee08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "42404d95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = cv2.resize(img, (100, 100))\n",
    "plt.imshow(img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4c33d1a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3000, 4500, 3)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(img)\n",
    "np.ndarray\n",
    "img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7fc5d092",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import cv2\n",
    "\n",
    "def translate(img, x, y):\n",
    "    (h, w) = img.shape[:2]\n",
    "    \n",
    "    M = np.float32([[1, 0, x], [0, 1, y]])\n",
    "\n",
    "    shifted_img = cv2.warpAffine(img, M, (w, h))\n",
    "    return shifted_img\n",
    "\n",
    "img = cv2.imread(r'/Users/bruce/Documents/猫头鹰背景图.png', 1)\n",
    "img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)\n",
    "new_img = translate(img, x=500, y=500)    \n",
    "plt.imshow(new_img)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a2dee076",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f2a500ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9e85dff5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "input_1 (InputLayer)         [(None, 1)]               0         \n",
      "_________________________________________________________________\n",
      "dense (Dense)                (None, 1)                 2         \n",
      "=================================================================\n",
      "Total params: 2\n",
      "Trainable params: 2\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2021-12-19 15:38:36.274443: I tensorflow/core/platform/cpu_feature_guard.cc:151] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations:  AVX2 FMA\n",
      "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n"
     ]
    }
   ],
   "source": [
    "input_tensor = tf.keras.Input(shape=[1, ])\n",
    "output_tensor = tf.keras.layers.Dense(1)(input_tensor)\n",
    "model = tf.keras.Model(input_tensor, output_tensor)\n",
    "\n",
    "model.summary()\n",
    "model.compile(\n",
    "    optimizer=tf.keras.optimizers.Adam(learning_rate=0.01),\n",
    "    loss=tf.keras.losses.MeanSquaredError()\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7bf6b307",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "w = 2.0\n",
    "b = 1.5\n",
    "\n",
    "x = np.linspace(-5, 5, 128)\n",
    "y = w * x + b\n",
    "z = y + np.random.randn(128)\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.scatter(x, z, label='Target')\n",
    "plt.plot(x, y, color='r')\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0c1d4dd2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c769e53f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0772\n",
      "Epoch 2/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0774\n",
      "Epoch 3/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0772\n",
      "Epoch 4/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0772\n",
      "Epoch 5/10\n",
      "8/8 [==============================] - 0s 924us/step - loss: 0.0772\n",
      "Epoch 6/10\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 0.0772\n",
      "Epoch 7/10\n",
      "8/8 [==============================] - 0s 995us/step - loss: 0.0772\n",
      "Epoch 8/10\n",
      "8/8 [==============================] - 0s 850us/step - loss: 0.0772\n",
      "Epoch 9/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0773\n",
      "Epoch 10/10\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 0.0772\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x7fc708ba3760>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(x, y, batch_size=16, epochs=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6e570037",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model_6\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "input_10 (InputLayer)        [(None, 1)]               0         \n",
      "_________________________________________________________________\n",
      "dense_12 (Dense)             (None, 16)                32        \n",
      "_________________________________________________________________\n",
      "re_lu_6 (ReLU)               (None, 16)                0         \n",
      "_________________________________________________________________\n",
      "dense_13 (Dense)             (None, 32)                544       \n",
      "_________________________________________________________________\n",
      "re_lu_7 (ReLU)               (None, 32)                0         \n",
      "_________________________________________________________________\n",
      "dense_14 (Dense)             (None, 1)                 33        \n",
      "=================================================================\n",
      "Total params: 609\n",
      "Trainable params: 609\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n",
      "Epoch 1/500\n",
      "8/8 [==============================] - 0s 870us/step - loss: 24.2617\n",
      "Epoch 2/500\n",
      "8/8 [==============================] - 0s 967us/step - loss: 5.5382\n",
      "Epoch 3/500\n",
      "8/8 [==============================] - 0s 909us/step - loss: 3.4064\n",
      "Epoch 4/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 2.1440\n",
      "Epoch 5/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.6561\n",
      "Epoch 6/500\n",
      "8/8 [==============================] - 0s 910us/step - loss: 1.4437\n",
      "Epoch 7/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.4137\n",
      "Epoch 8/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2500\n",
      "Epoch 9/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2106\n",
      "Epoch 10/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1951\n",
      "Epoch 11/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1859\n",
      "Epoch 12/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2001\n",
      "Epoch 13/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2034\n",
      "Epoch 14/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2391\n",
      "Epoch 15/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1626\n",
      "Epoch 16/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2286\n",
      "Epoch 17/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2175\n",
      "Epoch 18/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1694\n",
      "Epoch 19/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.2164\n",
      "Epoch 20/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1678\n",
      "Epoch 21/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2261\n",
      "Epoch 22/500\n",
      "8/8 [==============================] - 0s 4ms/step - loss: 1.2563\n",
      "Epoch 23/500\n",
      "8/8 [==============================] - 0s 3ms/step - loss: 1.2515\n",
      "Epoch 24/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.2669\n",
      "Epoch 25/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.2306\n",
      "Epoch 26/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2353\n",
      "Epoch 27/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1815\n",
      "Epoch 28/500\n",
      "8/8 [==============================] - 0s 993us/step - loss: 1.1823\n",
      "Epoch 29/500\n",
      "8/8 [==============================] - 0s 914us/step - loss: 1.2383\n",
      "Epoch 30/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.3498\n",
      "Epoch 31/500\n",
      "8/8 [==============================] - 0s 967us/step - loss: 1.1725\n",
      "Epoch 32/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2526\n",
      "Epoch 33/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2656\n",
      "Epoch 34/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2093\n",
      "Epoch 35/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1818\n",
      "Epoch 36/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1596\n",
      "Epoch 37/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2166\n",
      "Epoch 38/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2165\n",
      "Epoch 39/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2044\n",
      "Epoch 40/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1875\n",
      "Epoch 41/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2217\n",
      "Epoch 42/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1952\n",
      "Epoch 43/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1746\n",
      "Epoch 44/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1977\n",
      "Epoch 45/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1771\n",
      "Epoch 46/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1990\n",
      "Epoch 47/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.2299\n",
      "Epoch 48/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1621\n",
      "Epoch 49/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.2325\n",
      "Epoch 50/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2191\n",
      "Epoch 51/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1736\n",
      "Epoch 52/500\n",
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      "8/8 [==============================] - 0s 1ms/step - loss: 1.1275\n",
      "Epoch 469/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1121\n",
      "Epoch 470/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1426\n",
      "Epoch 471/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1036\n",
      "Epoch 472/500\n",
      "8/8 [==============================] - 0s 911us/step - loss: 1.0891\n",
      "Epoch 473/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.0933\n",
      "Epoch 474/500\n",
      "8/8 [==============================] - 0s 972us/step - loss: 1.0735\n",
      "Epoch 475/500\n",
      "8/8 [==============================] - 0s 932us/step - loss: 1.1302\n",
      "Epoch 476/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1401\n",
      "Epoch 477/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2463\n",
      "Epoch 478/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2733\n",
      "Epoch 479/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1206\n",
      "Epoch 480/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1914\n",
      "Epoch 481/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1617\n",
      "Epoch 482/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.0618\n",
      "Epoch 483/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1212\n",
      "Epoch 484/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1606\n",
      "Epoch 485/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1452\n",
      "Epoch 486/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1024\n",
      "Epoch 487/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1014\n",
      "Epoch 488/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.0950\n",
      "Epoch 489/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1456\n",
      "Epoch 490/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.0946\n",
      "Epoch 491/500\n",
      "8/8 [==============================] - 0s 4ms/step - loss: 1.1191\n",
      "Epoch 492/500\n",
      "8/8 [==============================] - 0s 2ms/step - loss: 1.1030\n",
      "Epoch 493/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.0992\n",
      "Epoch 494/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1676\n",
      "Epoch 495/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1888\n",
      "Epoch 496/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1703\n",
      "Epoch 497/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1647\n",
      "Epoch 498/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.1404\n",
      "Epoch 499/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.2755\n",
      "Epoch 500/500\n",
      "8/8 [==============================] - 0s 1ms/step - loss: 1.3583\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "\n",
    "input_tensor = tf.keras.Input(shape=[1, ])\n",
    "x = tf.keras.layers.Dense(16)(input_tensor)\n",
    "x = tf.keras.layers.ReLU()(x)\n",
    "x = tf.keras.layers.Dense(32)(x)\n",
    "x = tf.keras.layers.ReLU()(x)\n",
    "output_tensor = tf.keras.layers.Dense(1)(x)\n",
    "model = tf.keras.Model(input_tensor, output_tensor)\n",
    "model.summary()\n",
    "model.compile(\n",
    "    optimizer=tf.keras.optimizers.Adam(learning_rate=0.01),\n",
    "    loss=tf.keras.losses.MeanSquaredError()\n",
    ")\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "w = 2.0\n",
    "b = 1.5\n",
    "\n",
    "x = np.linspace(-5, 5, 128)\n",
    "y = w * x + b\n",
    "y = y + np.random.randn(128)\n",
    "\n",
    "model.fit(x, y, batch_size=16, epochs=50)\n",
    "pred_y = model.predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e01340a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.save('yicihanshu.h5')"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "7c97a5f9cbebfc99162fbbc8aacb21db92b90ed07dd9db0ea120af1884e21e6d"
  },
  "kernelspec": {
   "display_name": "Python 3.9.7 64-bit ('dev': conda)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
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